INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS

Alexander S. Balankin, Julián Patiño Ortiz, Miguel Patiño Ortiz

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The main goal of this work is to develop a robust framework for an exhaustive description of essential properties of a fractal object. For this purpose, the inherent features of fractal sets are scrutinized. The topological, metrological, morphological, and topographical attributes of fractal systems are delineated. The criteria of the fractal connectedness are established. The characteristics of the fractal connectivity and ramification are ascertained. The index of the fractal loopiness is introduced. The quantifications of the fractal heterogeneity, lacunarity, and anisotropy are briefly sketched out. A set of key attributes which enable a proper characterization of fractal system are suggested.

Original languageEnglish
Article number2250082
JournalFractals
Volume30
Issue number4
DOIs
StatePublished - 1 Jun 2022

Keywords

  • Connectivity
  • Degrees Of Freedom
  • Dimension Numbers
  • Fractals
  • Loopiness
  • Ramification

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